The paper offers a methodological reading of the process of the Italian research quality evaluation 2004-2010 (Vqr 2004-2010). In particular, it addressed the issue of peer review in political and social sciences areas (Pssa), with specific discussion on the criteria of selection of reviewers and the product-reviewers matching. On this points some omissions are found out in the final report of Pssa Vqr (2004-2010), that presents a lack of care on the side of accountability. The paper proposes a more thorough analysis in order to explore possible bias in the data-base, so they can be eliminated. Only then the Pssa Vqr (2004-2010) final report results could support university research sound policies.